Answer:
x^2 | y^25 |√187x
Step-by-step explanation:
First you simplify the equation then you factor 184 into its prime factors which is 184 = 23 • 23
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent. Factors which will be extracted are: 4 = 22 Factors which will remain inside the root are: 46 = 2 • 23 To complete this part of the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by 2: 2 = 2 At the end of this step the partly simplified SQRT looks like this: 2 • sqrt (46x5y50) Rules for simplifing variables which may be raised to a power: (1) variables with no exponent stay inside the radical (2) variables raised to power 1 or (-1) stay inside the radical (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples: (3.1) sqrt(x8)=x4 (3.2) sqrt(x-6)=x-3 (4) variables raised to an odd exponent which is >2 or <(-2) , examples: (4.1) sqrt(x5)=x2•sqrt(x) (4.2) sqrt(x-7)=x-3•sqrt(x-1) Applying these rules to our case we find out that SQRT(x5y50) = x2y25 • SQRT(x) sqrt (184x5y50) = 2 x2y25 • sqrt(46x)
pls brainlist
Answer:
V=576
Step-by-step explanation:
Answer:
a. ![u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B4%5Csqrt%7B41%7Di%20%7D%7B41%7D-%5Cfrac%7B5%5Csqrt%7B41%7Dj%7D%7B41%7D)
Step-by-step explanation:
The given vector is v= 4i - 5j
The magnitude of this vector is;
![|v|=\sqrt{(-4)^2+(-5)^2}](https://tex.z-dn.net/?f=%7Cv%7C%3D%5Csqrt%7B%28-4%29%5E2%2B%28-5%29%5E2%7D)
![|v|=\sqrt{16+25}](https://tex.z-dn.net/?f=%7Cv%7C%3D%5Csqrt%7B16%2B25%7D)
![|v|=\sqrt{41}](https://tex.z-dn.net/?f=%7Cv%7C%3D%5Csqrt%7B41%7D)
The unit vector u in the direction of v is;
![u=\frac{v}{|v|}](https://tex.z-dn.net/?f=u%3D%5Cfrac%7Bv%7D%7B%7Cv%7C%7D)
![u=\frac{4i - 5j}{\sqrt{41}}](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B4i%20-%205j%7D%7B%5Csqrt%7B41%7D%7D)
![u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B4i%20%7D%7B%5Csqrt%7B41%7D%7D-%5Cfrac%7B5j%7D%7B%5Csqrt%7B41%7D%7D)
We rationalize to get
![u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B4%5Csqrt%7B41%7Di%20%7D%7B41%7D-%5Cfrac%7B5%5Csqrt%7B41%7Dj%7D%7B41%7D)
Answer: $1,135.15
Step-by-step explanation:
First calculate his basic pay;
= 40 * 14.60
= $584
Total for overtime worked during the week;
= 15 * 14.60 * 1.25
= $273.75
Total for overtime worked on Saturday;
= 6 * 14.60 * 1.5
= $131.40
Total for overtime worked on Sunday;
= 5 * 14.60 * 2
= $146
Sum all the figures;
= 584 + 273.75 + 131.40 + 146
= $1,135.15